基于最短时间的稳态直流电动机最优控制

Optimal Control of Steady Direct Current Motor on Least Time

利用苏联学者庞特里亚金的极小值原理和Bang-Bang控制原理等最优控制知识,在直流电动机拖动系统的电枢电压u(t)不大于额定电压的条件下,进行理论分析与讨论,求出输入电压u*(t),希望直流电动机在输入电压u*(t)的作用下,用最短的时间使角速度ω达到预定的任意稳定转速,并用MATLAB作图仿真和检验。

This paper has used Russian scholar Л. C. ПOHTpЯГИH＇S Minimum principle and Bang-Bang principle of optimal controlling theory. In the condition that the voltage μ （t） of the DC motor armature is not greater than normal voltage,we use the optimal knowledge to calculate and work out μ^＊ （t）. And we expect the direct current motor with the input μ^＊ （t） to make rotational speed ω reach the steady rotational speed within short time. Finally this paper gives the simulation and examination with MATLAB.